Steady Two-Dimensional Forced Convection Flow with Heat Transfer in a Laminar Boundary Layer on a Flat Plate

A two-dimensional steady forced convection flow of a viscous incompressible fluid with heat transfer past a thin semi-infinite flat plate has been considered. The basic partial differential equations of velocity and temperature are converted into ordinary differential equations using similarity transformations and then solved employing R-K method of order four with shooting technique. The longitudinal as well as transverse velocity components and temperature of the flow field have been analysed through graphs. The interesting feature of the discussed problem is that for the solution of the temperature equation we have considered both the cases: (i) isothermal, in which the dissipation is neglected and (ii) adiabatic, in which the frictional heat is accounted. The key findings are: The growth of boundary layer is parabolic in nature. For higher Prandtl number fluids, the temperature boundary layer is thinner than the velocity boundary layer and therefore the rapid change in temperature is occurring very near to the plate.